一种具有超级多稳态的忆阻混沌系统及其在电力图像加密中的应用OA

It is an interrelated and independent research direction for the construction of chaotic systems and image encryption,and also the current research hotspot of chaotic systems.A new memristive chaotic system is constructed by introducing an absolute value memristor into the Sprott-I chaotic system.Affected by strong nonlinearity of the memristor,the equilibrium points of the new system become a line equilibrium set,showing richer dynamic characteristics.The dynamic characteristics of the system,such as Lyapunov exponent,dissipation and bifurcation diagram,are analyzed by MATLAB simulation.The results show that the new system can not only produce the conventional phenomena of chaotic attractors and periodic limit cycles depending on the change of system parameters,but also produce the special dynamic phenomena of constant Lyapunov exponent,bifurcation diagram shift depending on the change of initial conditions and super multi-stable state with infinite attractors.Finally,considering the super multi-stability phenomenon of the system after the introduction of the memristor,it can generate more robust pseudo-random sequences.Therefore,the system and DNA coding are introduced into the power image encryption.The security analysis experimental results on the MATLAB platform show that the algorithm has a good encryption effect.